Exponential Equation Worksheet With Answers Page 5
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739) log (x+1) = log (3x–2) (drop logs, set arguments equal)
x + 1 = 3x – 2
-2x = -3
Answer: x = 3/2
41) log
(x+3) = log
(3x) (drop logs, set arguments equal)
2
2
x + 3 = 3x
3 = 2x
Answer: x = 3/2
43) log
x – log
(x+6)=-2 (use minus to divide rule to rewrite left side with one log)
2
2
��
������
= −2 (write in exponential form)
2
��+6
��
−2
2
=
-2
2
(write 2
as ½
)
��+6
1
��
=
(cross multiply)
4
��+6
4x = x + 6
3x = 6
Answer: x = 2
45) log
x – log
(x – 6) = 2 (use minus to divide rule to rewrite left side with one log)
2
2
��
������
= 2 (write in exponential form)
2
��−6
��
2
2
=
2
(rewrite the 2
as 4, then as a fraction over 1)
��−6
4
��
=
(cross multiply)
1
��−6
4x – 24 = x
3x = 24
Answer: x = 8
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